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Simplifying z2 + 3iz + 3 + 5i = 0 Reorder the terms: 3 + 5i + 3iz + z2 = 0 Solving 3 + 5i + 3iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5i + 3iz + -3 + z2 = 0 + -3 Reorder the terms: 3 + -3 + 5i + 3iz + z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5i + 3iz + z2 = 0 + -3 5i + 3iz + z2 = 0 + -3 Combine like terms: 0 + -3 = -3 5i + 3iz + z2 = -3 Add '-1z2' to each side of the equation. 5i + 3iz + z2 + -1z2 = -3 + -1z2 Combine like terms: z2 + -1z2 = 0 5i + 3iz + 0 = -3 + -1z2 5i + 3iz = -3 + -1z2 Reorder the terms: 3 + 5i + 3iz + z2 = -3 + -1z2 + 3 + z2 Reorder the terms: 3 + 5i + 3iz + z2 = -3 + 3 + -1z2 + z2 Combine like terms: -3 + 3 = 0 3 + 5i + 3iz + z2 = 0 + -1z2 + z2 3 + 5i + 3iz + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 3 + 5i + 3iz + z2 = 0 The solution to this equation could not be determined.
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